about countable-uncountable terminology

I think i still dont know enough on this topic but what i now wondered is whether in that cantor’s diagonalization process, does it means, in an infinite length segment, there are actually infinity * infinity + infinity! numbers (infinity! comes for the gaps in between rationals, i mean real numbers part).

hmm and in an finite length segment, there are n*infinity + infinity’s n combinations part. So that when we try to divide it to infinity, we would still have some line segment existence in ours side from real nonrational side. hmm. above is still not enough depiction cause such created new set would also create additional such new set to forever. but some induction layer of it could be formularised in such induction base i guess. anyway.

one wonders whether if continuity is just an illusion and whether if things are instead discrete? that the infinity! does not exist and universe iterates rather discrete? hmm or else it could be also different.

These topics are very interesting as i learn.

For instance having an uncountable amount of things summing up to 0 measure (e.g. Cantor’s set).

I think i need to revisit these topics more in current phase and need to go over every topic with more detail.

hmm because goal is creating a language for semantics but with nice coverage level and more fine grained wtr to Montague’s set theoretic version. I want to build it more fine grained with having capacity to cover metaphysical questions also. (e.g. Bach’s questions).

So this is why measure theoretic study would be revisited. and mathematical analysis is also revisted since i need to. Since i need to get more expertise to be able to build such BNF.

Also not just for semantics, this maths basis would set up a basic grammar for other native functionalities like inductive thinking or any thinking capability out there.

So it has to be very fine grained and covering enough capacity to handle any metaphysical observation/query or inductive reality/thought.

I think i studied well today and i think i am going well in BNF study. Feels like, schedule would happen like: tomorrow also i might iterate alot and revisit measure theory concepts and would become more near to get core of BNF design that is inited already but were paused since i need to study more. I think now i came to level that i can continue designing BNF with after revisiting those analysis/measure theory topics.

And so, goal is to along with these basis, setting up a semantics grammar as mentioned that would make also metaphysical queries gets coverage or capability set to define/represent metaphysical inductions/thought.

hmm i think i studied well today.

feels as tomorrow i would become more near to finalizing BNF goals. I wish to revisit those maths analysis chapters and measure theory specific chapters and wish to reach capability set to unpause the paused BNF study on tomorrow or the other day.

I might still pause the linguistics study side tomorrow. Cause i think this maths BNF is more abstraction/meta layer for the linguistics grammar. So i mean hmm i think maybe if i read more linguistics articles, i might have other perspectives also in this maths grammar for core thought grammar native grammar. that semantics grammar would be a lower layer wtr to this meta layer. hmm. Via this, we could also answer Bach’s queries with enough coverage. I think Montague’s approaches now thinking actually really not covers such metaphysical queries but is rather a straightforward reductionism. hmm. Bach seemed much more interesting now cause i had missed his point of in his objections to Montague. Now i understand. That such set theoretic approach wont cover or be able to answer such metaphysical questions all of them. I lacked to see that in my first Bach reading.

i know every linguistics article might create betterment in my maths grammar design that would be the top most meta grammar in this native structures layers. I without reading those articles, were needing to study such maths topics without being aware other people did similar approaches like Montague. So i started Montague’s path without being aware. But i observe for instance, reading Bach made me remember to not forget that the meta maths grammar should be able to cover the metaphysical queries representation or such thought mechanisms. So as to restate, i think every reading from linguistics side is very very very important in this project whilst trying to setup a correct level coverage/capacity for the underlying design.

Actually i without Bach also were answering the similar questions to myself and wanting to setup such scope to this meta maths layer without even reading Bach. But, i might had in this linguistics grammar layer, i might had did some laziness of not focusing on that approaches, and might had followed a simpler way to fastly build some components. But Bach’s reading made me understood, its also important for linguistics layer and designing it with correct capacity/coverage level. I think i might had over simplified the linguistic grammar layer to go fast in project but this Bach reading put me back to correct track in that. That it were shocking to see zeno’s paradox queries also in Bach article, so i understand such mathemathical metaphysics queries also finds place in linguistics and it took me back to correct track. Cause i were going to do some laziness to go more agile and design linguistics layer with some lesser level capacity to iterate fast. But i figured out its meaningless. Correct approach is to build the meta maths layer with full capacity of coverage to be able to depict/query/investigate any metaphysical representation/induction. I were in mood of such mood of : i were like: i thought i could continue semantics layer of linguistics with in parallel to this maths grammar study and putting semantics layer a lesser scoped approach so that both two studies go in parallel and faster, where i switch in both of them to have less adhd and iterate in both of them. But Bach’s reading put me back on track that this is not ok to perpetuate the semantics/linguistics grammar(with reduced scope in initial version) and maths grammar in parallel. Its better to go sequential and finish first the meta maths grammar with all expected capacity from such layer then building linguistics semantics layer using that layer. so its not suited to go agile in this layers but more such sequential approach is more appropriate, cause it would be waste of time to devise such incomplete linguistics grammar. And there is enough time already to go sequential. there is no urgent rush for creating the nlp’s semantic layer in fastest time frame. cause there is enough time. maybe tomorrow or next day i would might iterate alot in design of meta maths layer. then maybe 4 or 5 days later it could finish at latest, then after that i could build the linguistics semantic grammar using that meta layer of maths. yupp. so scheduling is corrected like this after Bach’s reading.

So what i meant is: me postponing reading linguistics articles is not good thing. cause even Bach’s reading fixed such important project plan mistake like this where i wrongly set wrong scope to initial functionality of linguistics semantics layer. like setting up an agile iterative approach to that. which were illogical. i were like this because i were kind of wanting to see some early results. But now i understood designing it with the most capacity earliest is more logical and i should be more patient in wanting to see some mvp /features/moving to coding side like requests of my mind. I need to be patient and design it correct first. Its not this stage can not go agile. And i am happy Bach fixed my project plan with his article. Also fixed my temporary perspective on that grammar’s necessary capacity or structure. I were going to go cheap in that :) (in lieu of being agile and due to impatience and wanting to add some coding activity, such impatience due to constantly studying to background domain knowledge awhile since i lack it since i am not any maths area graduate person:) i need to study alot and i do to be convenient in these design task of BNFs/grammars. So i were getting impatient and were going to go cheap with setting up a reduced scope to iniital linguistics semantics layer’s grammar but Bach put my mind to correct track and not follow such cheaper approach :D )

So postponing reading articles is not a good thing. even i want to go fast in maths study in latest scheduling now, i think i should obligatory wise assign me reading every day some linguistics article cause it might even turn out fixing a quite wrong project plan asexemplified in above paragraphs :) . Every linguistics article out there is very very very important. And extends/corrects perspective of me in this task many times.

hmm i know this blog entry has not been quite well organized, anyway. I couldnt invest alot time to write it good with good language. i just i am sleepy and didnt had chance to check the language and typed whatever i think without fixing grammar or mistakes etc:D. so please dont be very objective to my own linguistics skills when reading this blog entry cause i really had not invested time to fix problems or even reread sentences:D :) . please dont be alot objective for my english capacity due to above paragraphs :) I am like audio blogging actually and just typing whatever comes from my mind without any revisiting whats written and also sleepy. So please dont be very much objective please:), and my english would get better also in time i wish/i expect since i would do lots of readings awhile during these type of projects:)